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If two particles are moving on same circle or different circles in same plane with different angular velocities w1 and w2 and different time period T1 and T2 in same sense then the time taken by 2 to complete one revolution w.r.t particle 1 is?
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If two particles are moving on same circle or different circles in sam...
Introduction:
When two particles are moving on the same circle or different circles in the same plane with different angular velocities w1 and w2 and different time periods T1 and T2 in the same sense, we can calculate the time taken by the second particle to complete one revolution with respect to the first particle.
Explanation:
To find the time taken by the second particle to complete one revolution with respect to the first particle, we need to calculate the time taken by both particles to reach the same position again.
Step 1: Find the time taken by the first particle to complete one revolution:
The time taken by the first particle to complete one revolution is equal to its time period T1.
Step 2: Find the time taken by the second particle to complete one revolution:
The time taken by the second particle to complete one revolution can be calculated using the formula:
T2 = T1 * (w1 / w2)
This formula states that the time taken by the second particle is equal to the time period of the first particle multiplied by the ratio of their angular velocities.
Example:
Let's consider an example to understand this concept better. Suppose particle 1 completes one revolution in 10 seconds (T1 = 10s) and particle 2 completes one revolution in 5 seconds (T2 = 5s). If the angular velocity of particle 1 is 2 radians per second (w1 = 2 rad/s) and the angular velocity of particle 2 is 1 radian per second (w2 = 1 rad/s), we can calculate the time taken by particle 2 to complete one revolution with respect to particle 1.
T2 = 10s * (2 rad/s) / (1 rad/s)
T2 = 20s
Therefore, particle 2 takes 20 seconds to complete one revolution with respect to particle 1.
Conclusion:
The time taken by the second particle to complete one revolution with respect to the first particle can be calculated by multiplying the time period of the first particle by the ratio of their angular velocities.
When two particles are moving on the same circle or different circles in the same plane with different angular velocities w1 and w2 and different time periods T1 and T2 in the same sense, we can calculate the time taken by the second particle to complete one revolution with respect to the first particle.
Explanation:
To find the time taken by the second particle to complete one revolution with respect to the first particle, we need to calculate the time taken by both particles to reach the same position again.
Step 1: Find the time taken by the first particle to complete one revolution:
The time taken by the first particle to complete one revolution is equal to its time period T1.
Step 2: Find the time taken by the second particle to complete one revolution:
The time taken by the second particle to complete one revolution can be calculated using the formula:
T2 = T1 * (w1 / w2)
This formula states that the time taken by the second particle is equal to the time period of the first particle multiplied by the ratio of their angular velocities.
Example:
Let's consider an example to understand this concept better. Suppose particle 1 completes one revolution in 10 seconds (T1 = 10s) and particle 2 completes one revolution in 5 seconds (T2 = 5s). If the angular velocity of particle 1 is 2 radians per second (w1 = 2 rad/s) and the angular velocity of particle 2 is 1 radian per second (w2 = 1 rad/s), we can calculate the time taken by particle 2 to complete one revolution with respect to particle 1.
T2 = 10s * (2 rad/s) / (1 rad/s)
T2 = 20s
Therefore, particle 2 takes 20 seconds to complete one revolution with respect to particle 1.
Conclusion:
The time taken by the second particle to complete one revolution with respect to the first particle can be calculated by multiplying the time period of the first particle by the ratio of their angular velocities.
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If two particles are moving on same circle or different circles in same plane with different angular velocities w1 and w2 and different time period T1 and T2 in same sense then the time taken by 2 to complete one revolution w.r.t particle 1 is?
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If two particles are moving on same circle or different circles in same plane with different angular velocities w1 and w2 and different time period T1 and T2 in same sense then the time taken by 2 to complete one revolution w.r.t particle 1 is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If two particles are moving on same circle or different circles in same plane with different angular velocities w1 and w2 and different time period T1 and T2 in same sense then the time taken by 2 to complete one revolution w.r.t particle 1 is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two particles are moving on same circle or different circles in same plane with different angular velocities w1 and w2 and different time period T1 and T2 in same sense then the time taken by 2 to complete one revolution w.r.t particle 1 is?.
If two particles are moving on same circle or different circles in same plane with different angular velocities w1 and w2 and different time period T1 and T2 in same sense then the time taken by 2 to complete one revolution w.r.t particle 1 is? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If two particles are moving on same circle or different circles in same plane with different angular velocities w1 and w2 and different time period T1 and T2 in same sense then the time taken by 2 to complete one revolution w.r.t particle 1 is? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two particles are moving on same circle or different circles in same plane with different angular velocities w1 and w2 and different time period T1 and T2 in same sense then the time taken by 2 to complete one revolution w.r.t particle 1 is?.
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